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ss7ja [257]
3 years ago
9

A human body while sleeping generates about 300 BTUs of body heat per hour. If two people are sleeping in a bedroom that is 12 f

t × 12 ft × 9 ft, how many BTUs per cubic foot do they produce in 8 hours? (to the nearest tenth)
Mathematics
2 answers:
Svetach [21]3 years ago
6 0
What u got to do is time the like term and do the unlike terms and the will be yo answer
Yuri [45]3 years ago
5 0

Answer:

3.7 BTUs per cubic foot.

Step-by-step explanation:

A human body while sleeping generates about 300 BTUs of body heat per hour.

We have to calculate the amount of heat per cubic feet produced by 2 persons sleeping in a bedroom of 12 ft×12 ft× 9 ft room in 8 hours.

Two persons will produce the heat in eight hours = 300×2×8 = 4800 BTUs

Volume of bedroom = 12×12×9 = 1296 cubic foot.

Now BTUs per cubic foot produced = Total body heat produced in 8 hours/Volume of room

= 4800/1296 = 3.703 = 3.7 BTUs per cubic foot.

Therefore answer is 3.7 BTUs per cubic foot.

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The ratio is 1 1/2 cups of cheese to 6 oz of pasta. All statements have 1 cup of cheese, so let's find the corresponding amount of pasta using a rule of three:

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A geometric progression has a third term of 20 and a sum of infinity which is 3 times the first term. Find the first term ​
Anna007 [38]

Answer: the first term is 45

Step-by-step explanation:

Step 1: The formular for the nth term is ar^n-1 and since we're solving for the third term ar^3-1 = ar² which is equal to 20

So ar²= 20 and we make this equation i

Step 2: the formular for the sum of infinity is Sn = a/(1-r) and according the question the sum of infinity is equals to 3 *A ( A means the first term)

Further simplification gives us

3a= a/(1-r)

We simplify Futher by multiplying both sides by (1-r)

3a.(1-r) = a/(1-r).(1-r)

3a(1-r)=a

= 3a-3ar=a

Make 3ar the subject of the formula

3ar= 2a and lets make this equation (ii)

Step 3: From the first equation since ar²=20, let's make a the subject of the formula by dividing both sides by r²

Ar²/r² = 20/r²

A=20/r²lets make this equation (iii)

Step 4: subtitle a as 20/r² into equation (ii)

Since 3ar=2a

Then 3.(20/r²).r = 2. 20/r²

= (60/r²) .r = 40/r²

60/r = 40/r2

Multiplying both sides by r² gives us

60r = 40

Divide both sides by 20 gives us

= 3r= 2

Divide both sides by 3 gives us

= r = 2/3

Step 5: substitute r for 2/3 in equation i

ar²= 20

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= a = 180/4

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